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12122166 = 237349827
BaseRepresentation
bin101110001111…
…100000110110
3211210212111010
4232033200312
511100402131
61111453050
7205015410
oct56174066
924725433
1012122166
11692a621
124087186
1326857a4
1418779b0
1510e6b46
hexb8f836

12122166 has 32 divisors (see below), whose sum is σ = 27820800. Its totient is φ = 3449376.

The previous prime is 12122153. The next prime is 12122167. The reversal of 12122166 is 66122121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14245 + ... + 15071.

It is an arithmetic number, because the mean of its divisors is an integer number (869400).

Almost surely, 212122166 is an apocalyptic number.

12122166 is an abundant number, since it is smaller than the sum of its proper divisors (15698634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12122166 is a wasteful number, since it uses less digits than its factorization.

12122166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188.

The product of its digits is 288, while the sum is 21.

The square root of 12122166 is about 3481.6901068303. The cubic root of 12122166 is about 229.7171444083.

Adding to 12122166 its reverse (66122121), we get a palindrome (78244287).

The spelling of 12122166 in words is "twelve million, one hundred twenty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 349 698 827 1047 1654 2094 2443 2481 4886 4962 5789 7329 11578 14658 17367 34734 288623 577246 865869 1731738 2020361 4040722 6061083 12122166